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math-ph2025
Improved bounds for connection probabilities in random loop models
Volker Betz, Andreas Klippel, Julian Nauth
We revisit and extend results by Ueltschi [19] on the application of reflection positivity to loop models with . By exploiting additional flexibility in t…
math-ph2025
On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model
Volker Betz, Benjamin Hinrichs, Mino Nicola Kraft +1
We prove absence of ground states in the infrared-divergent spin boson model at large coupling. Our key argument reduces the proof to verifying long range order in the dual one-dim…